Finding the Third Proportional to 10,838 and 23,701

Step by Step Solution

1. Step 1: Write the proportion equation
   10,838 : 23,701 = 23,701 : x
2. Step 2: Convert to fraction form
   10,838/23,701 = 23,701/x
3. Step 3: Cross multiply
   10,838x = 23,701 × 23,701
4. Step 4: Simplify right side
   10,838x = 561,737,401
5. Step 5: Solve for x
   x = 561,737,401/10,838
6. Step 6: Final answer
   x = 51,830.36